dorsal/arxiv
View SchemaRepresentations of Quantum Affine Algebras
| Authors | D. Kazhdan, Y. Soibelman |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9503022 |
| URL | https://arxiv.org/abs/q-alg/9503022 |
Abstract
In this paper we define a quantum version of the ``fusion'' tensor product of two representations of an affine Kac-Moody algebra.It is replaced by what we call fusion action of the category of finite-dimensional representations of quantum affine algebra on its highest weight representations. We construct a quantum version of the associativity constraint. We give categorical treatment of the subject and related questions ( like quantum Knizhnik-Zamolodchikov equations).
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"abstract": "In this paper we define a quantum version of the ``fusion\u0027\u0027 tensor product of\ntwo representations of an affine Kac-Moody algebra.It is replaced by what we\ncall fusion action of the category of finite-dimensional representations of\nquantum affine algebra on its highest weight representations. We construct a\nquantum version of the associativity constraint. We give categorical treatment\nof the subject and related questions ( like quantum Knizhnik-Zamolodchikov\nequations).",
"arxiv_id": "q-alg/9503022",
"authors": [
"D. Kazhdan",
"Y. Soibelman"
],
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"q-alg",
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"title": "Representations of Quantum Affine Algebras",
"url": "https://arxiv.org/abs/q-alg/9503022"
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